Physics

A summary of the results is as follows:

Frequency = 1.01 kHz: Input = 1.51 V; Output = 1.44 V

Frequency = 10.06 kHz: Input = 1.37 V; Output = 0.62 V

Frequency = 102.8 kHz: Input = 1.31 V; Output = 90 mV

The resistor was measured to be 331.4 Ω and the capacitor to be 96.3 nF. (1) Calculate values of the transfer function, using the formula above, at the frequencies that were investigated and compare them to the ratios of the measured output and input voltages at each frequency. 

 

A summary of the results is as follows:

Frequency = 1.01 kHz: Input = 1.50 V; Output = 1.44 V

Frequency = 10.06 kHz: Input = 1.20 V; Output = 0.50 V

Frequency = 102.8 kHz: Input = 1.13 V; Output = 70 mV

The resistor was measured to be 150.1 Ω and the capacitor to be 233.6 nF. (2) Are the ratios of the output voltage to input voltage for this filter similar to the ratios of the first low-pass filter? Does it make sense based on the transfer function how the ratios compare? 

 

 

A summary of the results is as follows:

Frequency = 102.1 Hz: Input = 1.50 V; Output = 1.38 V

Frequency = 10.16 Hz: Input = 1.52 V; Output = 430 mV

The capacitor was measured to be 21.69 nF and the resistor to be 222.3 kΩ. (3) Calculate values of the transfer function, using the formula above, at the frequencies that were investigated and compare them to the ratios of the measured output and input voltages at each frequency. 

  

 

 

For a better view of this final band-pass filter:

A summary of the results is as follows:

Frequency = 10.06 Hz: Input = 1.52 V; Output = 420 mV

Frequency = 101.1 Hz: Input = 1.50 V; Output = 1.37 V

Frequency = 1.00 kHz: Input = 1.50 V; Output = 1.42 V

Frequency = 10.03 kHz: Input = 1.20 V; Output = 0.50 V

For the low pass stage the resistor was measured to be 150.1 Ω and the capacitor to be 233.6 nF, and for the high pass stage the capacitor was measured to be 21.69 nF and the resistor to be 222.3 kΩ. Suppose that the goal for this band-pass filter is to transfer at least 85% of the signal between 100 Hz and 1 kHz but to transfer 25% or less of the signal at frequencies below 10 Hz and above 10 kHz. (4) Does the band-pass filter meet the goal in all the ways just stated? Support your answer based on the measurements. 

 

For a better view of this prototype band-pass filter and the final one below:

A summary of the results is as follows:

Frequency = 10.12 Hz: Input = 1.52 V; Output = 320 mV

Frequency = 101.7 Hz: Input = 1.51 V; Output = 1.30 V

Frequency = 1.01 kHz: Input = 1.48 V; Output = 1.31 V

Frequency = 10.09 kHz: Input = 1.33 V; Output = 290 mV

For the low pass stage the resistor was measured to be 331.4 Ω and the capacitor to be 233.6 nF, and for the high pass stage the capacitor was measured to be 21.69 nF and the resistor to be 151.0 kΩ. The goal with the changed resistor values is for the band-pass filter to transfer at least 85% of the signal between 100 Hz and 1 kHz but to transfer 25% or less of the signal at frequencies below 10 Hz and above 10 kHz. (5) Does the modified band-pass filter meet the goal in all the ways just stated? Support your answer based on the measurements. Explain for each of the two changes made how it specifically resulted in better achievement of the stated goal, making sure that your explanation is clear and thoughtful.